225383928 has 256 divisors, whose sum is σ = 760320000. Its totient is φ = 55036800.

The previous prime is 225383897. The next prime is 225383989. The reversal of 225383928 is 829383522.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 225383928.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1720423 + ... + 1720553.

It is an arithmetic number, because the mean of its divisors is an integer number (2970000).

Almost surely, 2^225383928 is an apocalyptic number.

225383928 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225383928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (380160000).

225383928 is an abundant number, since it is smaller than the sum of its proper divisors (534936072).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

225383928 is a wasteful number, since it uses less digits than its factorization.

225383928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 173 counting only the distinct ones).

The product of its digits is 207360, while the sum is 42.

The square root of 225383928 is about 15012.7921453672. The cubic root of 225383928 is about 608.5659478131.

The spelling of 225383928 in words is "two hundred twenty-five million, three hundred eighty-three thousand, nine hundred twenty-eight".